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math.AP2023
Log-Sobolev inequalities and hypercontractivity for Ornstein-Uhlenbeck evolution operators in infinite dimensions
Davide A. Bignamini, Paolo De Fazio
In an infinite dimensional separable Hilbert space , we study the realizations of Ornstein-Uhlenbeck evolution operators $\pst$ in the spaces $L^p(X,\g_t)$, $\{\g_t\}_{t\in\R}$…
math.AP2022
On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions
Paolo De Fazio
We prove smoothing properties along suitable directions of the Ornstein-Uhlenbeck evolution operator, namely the evolution operator associated to non autonomous Ornstein-Uhlenbeck…